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Finding the Fourth Proportional to 11,573.79, 15,972.39 and 6,538.22

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Solution

The fourth proportional to 11,573.79, 15,972.39 and 6,538.22 is: 9,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.79 : 15,972.39 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    11,573.79/15,972.39 = 6,538.22/x
  3. Step 3: Cross multiply
    11,573.79x = 15,972.39 × 6,538.22
  4. Step 4: Simplify right side
    11,573.79x = 104,430,979.78
  5. Step 5: Solve for x
    x = 104,430,979.78/11,573.79
  6. Step 6: Final answer
    x = 9,023.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.